Physics – Quantum Physics
Scientific paper
1995-08-24
Physics
Quantum Physics
Standard LaTeX, 15 pages + 2 figures (uuencoded postscript), to appear in Physics Letters A, October 1995
Scientific paper
10.1016/0375-9601(95)00605-3
Quantum chaos---the study of quantized nonintegrable Hamiltonian systems---is an extremely well-developed and sophisticated field. By contrast, very little work has been done in looking at quantum versions of systems which classically exhibit {\it dissipative} chaos. Using the decoherence formalism of Gell-Mann and Hartle, I find a quantum mechanical analog of one such system, the forced damped Duffing oscillator. I demonstrate the classical limit of the system, and discuss its decoherent histories. I show that using decoherent histories, one can define not only the quantum map of an entire density operator, but can find an analog to the Poincar\'e map of the individual trajectory. Finally, I argue the usefulness of this model as an example of quantum dissipative chaos, as well as of a practical application of the decoherence formalism to an interesting problem.
No associations
LandOfFree
An Example of the Decoherence Approach to Quantum Dissipative Chaos does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with An Example of the Decoherence Approach to Quantum Dissipative Chaos, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Example of the Decoherence Approach to Quantum Dissipative Chaos will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-677924